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Finding the Fourth Proportional to 601,678, 830,324.84 and 329,743.68

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Solution

The fourth proportional to 601,678, 830,324.84 and 329,743.68 is: 455,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,678 : 830,324.84 = 329,743.68 : x
  2. Step 2: Convert to fraction form
    601,678/830,324.84 = 329,743.68/x
  3. Step 3: Cross multiply
    601,678x = 830,324.84 × 329,743.68
  4. Step 4: Simplify right side
    601,678x = 273,794,368,337.01
  5. Step 5: Solve for x
    x = 273,794,368,337.01/601,678
  6. Step 6: Final answer
    x = 455,051.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.